Find the measure of each missing angle. a || b

The shortest lifespan will last less than 2.5 years.

What is standard deviation?

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

First, we must utilize the conventional normal table to determine the value for z if 10% of the region (probability) to its left will be present. We can observe that about z = -1.282.

Now, we have to find the value of x, that corresponds to the value of z.

Since,

(x - μ) / σ = z

(x - 3.1) / 0.5 = -1.282

                 x = 2.459

Hence, the shortest lifespan will last less than 2.5 years.

To know more about the standard deviation, click on the link

https://brainly.com/question/475676

#SPJ4

Answer:

Step-by-step explanation:

Ok:

1. Straight out Multiplication. Denominator to denominator and numerator to numerator!

3/5*6/7=

18/35=

Answer: 18/35

Pls. Click on the crown for brainliest.!

Thank you !

Using the Optimization problem solving strategy, the maximum area inside the margins is 108 inch².

Firstly , we can develope a function of two variables. let the length of poster be x inch and width be y inch.

total Area of poster (A ) = x × y = 200 inch² ---(1)

we have provided that bottom and top margin is 2 inch each and right -left margin is 1 inch each.

So, length of poster inside margin (l) = (x-4 ) inch

width of poster inside the margin (w) = (y-2) inch

Area inside the margins = l × w sq. inch

= (x-4)(y-2) sq.inch ---(2)

from (1) we can find out the value of one variable and put in equation (2) ,

from( 1), y = 200/x

Area inside margins= (x-4)(200/x - 2) = 2(x -4)( 100/x - 1) = 2( 100 - x - 400/x + 4)

Area inside margins = 2 ( -x - 400/x + 104)

To minimize the area inside the margins we take first order derivative of it

dA/ dx = d/dx[ 2( -x - 400/x + 104) ]

= 2 d/dx ( -x - 400/x +104) = 2 ( -1 + 400/x² )

critical points occurs when dA /dx = 0

2 ( -1 + 400/x² ) = 0 => 800/x² = 2

=> x² = 400 => x = 20

putting value of x in equation (1) we get ,

x×y = 200 = 20× y => y = 10

so, length of poster is 20 inch and width is 10 inch.

Now, length of poster inside margin (l) = 16 inch

width of poster inside margin (w) = 8 inch

maximum area inside margin is 108 inch².

To learn more about Optimization problem, refer:

https://brainly.com/question/17083176

#SPJ4

Trip of 700 km required 70 liter  gasoline

For go 200 km Distance total gasoline required = 20 liter

For go 1 km Distance total gasoline required = 20÷200

                                                                          =  0.1 liter

Total trip distance =700 km

Total gasoline required for  going 700 km = Total distance×Gasoline required for 1 km

 Total gasoline required for  going 700 km  = 700×0.01                                                          

                                                                         = 70 liters

For more about Time and Distance visit:            https://brainly.com/question/18798899?referrer=searchResults

70 liters of gasoline will be used on a trip of 700 kilometers.

Given that,

200 kilometer is covered by 20 liters of gasoline.

For go 1 km Distance total gasoline required = 20÷200

                                                                          =  0.1 liter

Now,

Let x be the liters of gasoline required for a 700-km trip.

            ⇒ 20/200 = x/700

            ⇒ (200) (x) = (20) (700)

            ⇒ 200x = 14,000

            ⇒ 200x/200 = 14,000/200

              or,  x = 70

Therefore, the answer is :

70 liters of gasoline will be needed for a 700 kilometer of trip.

Learn more about gasoline:

https://brainly.com/question/28762820

#SPJ4

Answer:

need more clarification and need better picture

Step-by-step explanation:

plsssss

The correct answer is False because, If the sample size is large enough (n greater than or equal to 30) the sampling distribution is approximately normal regardless of the shape of the population.

The sample fraction, often called the "p-hat", is the ratio of the number of sample successes to the size of the sample. The standard deviation of (p) decreases as the sample size n increases. This is because n is included in the denominator of the standard deviation formula. That is, (p has) has fewer variables for larger samples. The P-hat (must be a lowercase p with a caret (^) circumflex) indicates the percentage of the sample (this is the x-bar, the average of the samples).

A p-hat (proportion) sampling distribution is a collection of equal-sized repeated sample proportions drawn from the same population to represent it. According to the central limit theorem, the sampling distribution of p-hat is approximately normally distributed for large sample sizes.

To know furthermore about P-Hat at  

https://brainly.com/question/12360461

#SPJ4

you can refer to the explanation I wrote for you on paper since it is much easier... look at the pic uploaded

After f(x) = 2x translated up 5 units, then it reflect in x-axis is g(x) = f(2x)+5.

What does a graphing translation mean?

The rules for transforming a function f(x) into g(x):

g(x) = a·f(b(x-c)) + d

Hence, After f(x) = 2x translated up 5 units, then it reflect in x-axis is g(x) = f(2x) + 5.

To know more about graphs check the below link:

https://brainly.com/question/19040584

#SPJ1

Answer:

Step-by-step explanation:

I am not sure

The parabola has a positive leading coefficient, which means that it opens upwards.

We want to find the leading coefficient and see how the parabola opens.

A general quadratic equation is written as:

y = A*X^2 +b*X+ c

Where a is the leading coefficient.

If a is positive, then the parabola opens upwards, and if a is negative, the parabola opens downwards.

In this case, the equation is:

y = x^2 - 5x - 7

The leading coefficient is a = 1, it is positive, so the parabola opens upwards.

Learn more about quadratic equations:

https://brainly.com/question/1214333

#SPJ1

The average speed of Erin on the return part is 12 miles/hour

Given, Erin leaves home at 11am. She cycles at a speed of 16 miles per hour for 90 minutes. She stops for half an hour. Erin then cycles home and arrives at 3pm.

We have to find the average speed on the return part of her cycle.

Now, using distance formula, we get

Distance = Speed × Time

Distance = 16 miles per hour × 90 × 1/60 hours

Distance = 24 miles

As, average speed = Total distance/Total time

Average speed = 24 miles / 2 hours

Average speed = 12 miles per hour

Hence, the average speed of Erin on the return part is 12 miles/hour

Learn more about Distance, Speed and Time here https://brainly.com/question/28504831

#SPJ1

The total amount of money the siblings earned is equal to $1504.5.

From the information provided, the total number of hours worked is represented by this mathematical expression:

10h + 15

where:

h represents the number of hours Michael worked.

Next, we would determine the number of hours Michael worked by summing up all of the total number of hours worked by each of the four siblings and equating it to the total number of hours worked:

2.5(h + 3) + 4(h - 2) + 31 + h = 10h + 15

7.5h + 26 = 10h + 15

10h - 7.5h = 26 - 15

2.5h = 11

h = 4.4 hours.

For the total number of hours worked by each of the four siblings, we have:

Total hours = 10h + 15

Total hours = 10(4.4) + 15

Total hours = 44 + 15

Total hours = 59 hours.

At a rate of $25.50 per hour, the total amount the siblings earned is given by:

Total earnings = $25.50 × 59

Total earnings = $1504.5.

Read more on total earnings here: brainly.com/question/24392720

#SPJ1

Complete Question:

Four siblings have a dog walking business. The table shows the hours worked by each sibling. Each sibling earns $25.50 per hour and the total number of hours worked is represented by 10h + 15 , where h represents the number of hours Michael worked. What was the total amount the siblings earned?

Measure of angle M is 76°, angle N is 76° and side LN is 18 in.

According to figure,

LM = 18 in

∠NLM = 28°

In triangle LMN

LN = LM

     = 18 in

Therefore, ∠LMN = ∠LNM = x     (LN = LM)

∠LMN + ∠NLM + ∠LNM = 180°

x + 28 + x = 180

   2x + 28 = 180

           2x = 180 - 28

           2x = 152

             x = 152/2

             x = 76

Hence, ∠M = ∠N = 76°.

To learn more about angle here:

https://brainly.com/question/28451077

#SPJ1

Yes, the unit rate of the ratio 12/5/3/10 is 8/1 as per given in the problem.

A unit rate is the price for one unit of a given quantity. With one as the denominator, we express this as a ratio. You would run 7 yards on average every second if you ran 70 yards in 10 seconds, for instance. The 70 yards in 10 seconds and the 7 yards in 1 second ratios are both rates, however the 7 yards in 1 second ratio is a unit rate.

Here, given that the unit rate for the ratio given is 8/1

We have to check whether the ratio is correct or not

So, (12/5)/(3/10)

=(12/5)×(10/3)

=8/1

Therefore, the ratio 8/1 is correct as per given in the sum

So, the answer is yes

To know more about unit rate, visit:

https://brainly.com/question/11258929

#SPJ1

Answer: All of them are integer

Step-by-step explanation:

They are all integer.

The resulting ordered pair is (15, 37.50) when the value of x as 15.

Ordered pair

Ordered pair refers a set of numbers that tells us where to find a point on a coordinate grid. In the grid, the first number represents the value on the x-axis and the second number represents the value on the y-axis.

Given,

A student used the equation below to create a table.

y = 2.50x

The student used 15 as one of the values for the x.

Here we need to find the resulting ordered pair.

Through the given question we have identified that the given function is,

y = 2.50x.

Here x represents the number of students.

Now, we have to calculate the y value for 15 number of students,

So, here we have to apply the value x as 15, then we get,

y = 2.50 (15)

Now, we have to perform the multiplication on it,

y = 37.50

Therefore, the resulting ordered pair is (15, 37.50)

To know more about Ordered pairs here.

https://brainly.com/question/28874341

#SPJ1

Perimeter of the polygon with given vertices is 22.43

Given:

Point 1 : (-2,4) ,

Point 2 : (3,4),

Point 3 :(3,-4)  

Perimeter of a polygon  = Sum of all the sides length of polygon  

1. Length of Point 1 and point 2 = √[(x₂-x₁)²+(y₂-y₁)² ]                

= √[(3+2)²+(4-4)² ]                  

= 5  

2.Length of Point 1 and point 3 = √[(x₂-x₁)²+(y₂-y₁)² ]

           =  √[(3+2)²+(-4-4)² ]                    

= 9.43  

3. Length of Point 2 and point 3  =√[(x₂-x₁)²+(y₂-y₁)² ]            

= √[ (3-3)²+(-4-4)² ]                      

= 8

So, Perimeter of the polygon = 5+9.43+8

Perimeter of the polygon  = 22.43

To know more about Perimeter check the below link:

https://brainly.com/question/397857

#SPJ1

Answer:

[tex]33\frac{1}{3}[/tex]

Step-by-step explanation:

square is just multiplying things twice

(-3 1/3)(-3 1/3)

(-10/3)(-10/3)

100/3

33 1/3

Hopes this helps

Answer: 1

Step-by-step explanation:

(-3 1/3)= (-1/3)+(-1/3)+(-1/3) = -1

(-3 1/3)^2 = (-1)^2 = (-1)(-1) = 1

Answer:

The line y = 0 is an asymptote of the graph.

The y-intercept is 15,000.

The y-intercept represents the number of bacteria when treatment began.

The asymptote indicates that as time increases, the number of bacteria approaches 0.

Step-by-step explanation:

Took the test

Answer:

C: 9

Step-by-step explanation:

3^4/3^2

3*3*3*3/3*3 cancel out 2 threes from the bottom and top.

3*3=9

The statements are characterized as converse, inverse, and contrapositive statements as follows:

Converse statements:

Inverse statements:

Contrapositive statements:

So, the given sentences are:

Therefore, the statements are characterized as converse, inverse, and contrapositive statements as follows:

Know more about converse statements here

https://brainly.com/question/2751386

#SPJ1

Answer:

1,2,4

Step-by-step explanation:

edem

answer:19.8 should be the answer?

Step-by-step explanation:

Answer:

3q(m-n)

Step-by-step explanation:

pm - pm + 3qm - 3qn

= 3qm - 3qn (pm-pm cancelled out such as 2x-2x=0)

= 3q(m-n)

The 8 cm² area on a map  represent the actual area = 3200000000 cm² .

Scale factor of a map

S = 1/20000

The scale factor for area is found by squaring the scale factor for length. Thus the scale factor for area is S^2

When applied to the area we consider  S^2 as a scale factor.

The area on the map = 8 cm²

So The actual area = 8 × (20000)^2 = 8× 20000×20000

=3200000000 cm²  = 320000 m² =32 hectare.

So the 8 cm² area on a map  represent the actual area = 3200000000 cm² .

To know more about scale factor here.

https://brainly.com/question/243665

#SPJ1

Answer:

[tex]\frac{5}{12}[/tex]

Step-by-step explanation:

Step 1: Set up the problem

Step 2: Solve

The probability of getting at least 1 red marbles is 3/7.

What is probability?

Probability of getting at least one red = 1 − Probability of getting red marbles

Total number of marbles = 7

Probability of getting red marbles = 4/7

Probability of getting at least one red = 1 - Probability of getting red marbles

= (7-4)/7

= 3/7

Hence, The probability of getting at least 1 red marbles is 3/7.

To know more about probability check the below link:

https://brainly.com/question/25870256

#SPJ9

Answer:

8 bagels

Step-by-step explanation:

This is a remainder division problem. We need to divide 719 by 9 and find the remainder.

First off, 9 is bigger than 7, so we need to move to the next digit. How many times does 9 go into 71? 9 times 7 is 63! That's the closest smaller number we can get, so I will write a 7 in the long division problem above the 1. I will subtract 63 from 71 to get 8.

      7

9 | 719

   -63

       8

Now, the 9 can be brought down, making our 8 into an 89. How many times does 9 go into 89? 9 times 9 is 81! That's the closest we can get! I will write a 9 by the 7 above the 9 in 719, and write 81 below the 89. Subtracting these leaves us with a remainder of 8.

      79

9 | 719

  -63 ↓

      89

      -81

         8

This means that the bagels were sent in 9 equal shipments of 79 bagels each, and the baker was left with 8 bagels!

Answer:

132 rs

Step-by-step explanation:

Cost of one orange = 48 : 12 = 4 rs

cost of 30 orange = 4 * 30 = 120 rs

10 : 100 = x : 120

x = (120 * 10)/100

x = 12 rs

final price = 120 + 12 = 132 rs

The number of significant digits that the product should have is; 2

Scientific notation is defined as a way of expressing a number as a number between 1 and to multiplied by a power of 10. This is usually in the form A * 10ⁿ

Where;

A is any real number between 1 and 10

n is any integer

When multiplying scientific notations, the final product must be to the scientific notation that has the least decimal place.

Since the least decimal place in the given measurement is 2, hence the significant digits the product should have is 2

Read more about Scientific Notation at; https://brainly.com/question/27862246

#SPJ1

The probability of type I error if the new blood test is used is 0.05

Given data;

It is not always possible to identify rare diseases by screening. A blood test that has been created by researchers is thought to be reasonably dependable. In 97% of those who suffer from a sickness, it produces a favorable response. However, 5% of those tested who do not have the condition received an incorrectly positive response. Take into account the null hypothesis that "the person does not have the disease."

The probability that the blood test report will be positive if someone has the disease = 0.97 The probability that the blood test report will be positive if someone does not have the disease is = 0.05

The null hypothesis is: "The individual does not have the disease."

The type I error occurs when we reject the null hypothesis, but it was true in reality.

Therefore, the probability of type I error = The probability that the blood test report will be positive if someone does not have the disease.

⇒ 0.05

To learn more about probability click here:

brainly.com/question/11234923

#SPJ4